UCLA

The main purpose of this thesis is the validation of the gyrokinetic method in the near-edge region of L-mode plasmas. Our primary finding is that gyrokinetic simulations are able to match the heat-flux in the near-edge region of an L-mode plasma at ρ = 0.80 and ρ = 0.90 within the combined statistical and systematic uncertainty σ of the experiment at the 1.6σ and 1.3σ levels, respectively. At ρ = 0.95, gyrokinetic simulations are able to match the total experimental heat flux with nominal experimental parameters. In the big picture, this successful validation exercise helps push the gyrokinetic validation frontier closer to the L-mode edge region.

In the course of this validation study, we make three secondary findings that may be helpful to the fusion community. First, the current heuristic rules for the relevance of multi-scale effects appear to be on the cautious side. Multi-scale simulations at ρ = 0.80 suggest that single-scale simulations can be sufficient in a scenario when multi-scale effects are expected. This is helpful, because it could increase the realm of applicability of single-scale simulations, which are computationally more affordable than multi-scale simulations. Second, the effect of edge E�B shear is found to become important already in the near-edge (at ρ = 0.90) rather than at larger radial positions. This was unexpected and is relevant for future simulations in the near-edge. Third, nonlinear simulations at ρ = 0.90 find a hybrid ion temperature gradient (ITG)/ trapped electron mode (TEM) scenario, which was not obvious from linear simulations due to the stability of ITG modes. This could also be an important result for spherical tokamaks, where ITG modes are more often linearly stable than in conventional tokamaks.